Let the Rate of the Wind be : W mi/h
Given : The Jet can fly at a rate of 480 mi/h
⇒ Travelling with the Wind, Jet flies with a speed of (480 + W) mi/h
⇒ Travelling against the Wind, Jet flies with a speed of (480 - W) mi/h
Given : The Jet Travels 1560 Miles, Travelling with the Wind
Let us calculate How much time the Jet takes to Travel 1560 Miles
In One Hour : The Jet travels a Distance of (480 + W) Miles
⇒ The Jet travels a Distance of 1560 Miles in : [tex][\frac{1560}{480 + W}]\;Hours[/tex]
Given : The Jet Travels 1320 Miles, Travelling against the Wind
Let us calculate How much time the Jet takes to Travel 1320 Miles
In One Hour : The Jet travels a Distance of (480 - W) Miles
⇒ The Jet travels a Distance of 1320 Miles in : [tex][\frac{1320}{480 - W}]\;Hours[/tex]
Given : Time taken to fly 1560 Miles with the Wind = Time taken to fly 1320 Miles against the Wind.
⇒ [tex]\frac{1560}{480 + W} = \frac{1320}{480 - W}[/tex]
⇒ 1560(480 - W) = 1320(480 + W)
⇒ (1560 × 480) - 1560W = (1320 × 480) + 1320W
⇒ 1560W + 1320W = (1560 × 480) - (1320 × 480)
⇒ 2880W = 480(240)
⇒ 288W = 48(240)
⇒ 72W = 12(240)
⇒ 6W = 240
⇒ W = 40
⇒ The Rate of Wind is 40 mi/h
